【摘 要】
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Conformal invariance and critical phenomena in two-dimensional statistical physics have been active areas of research in the last few decades.This talk conc
【机 构】
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YauMathematicalSciencesCenter
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Conformal invariance and critical phenomena in two-dimensional statistical physics have been active areas of research in the last few decades.This talk concerns conformally invariant random curves that should describe scaling limits of interfaces in critical lattice models.The scaling limit of the interface in critical planar lattice model with Doburshin boundary conditions(b.c.),if exists,should satisfy conformal invariance(CI)and domain Markov property(DMP).In 1999,O.Schramm introduced SLE process,and this is the only oneparameter family of random curves with CI and DMP.In 2010,D.Chelkak and S.Smirnov proved that the interface of critical Ising model on the square lattice does converge to SLE(3).In this talk,I will discuss the importance of CI and DMP in two-dimensional statistical physics models.
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